Question

PLZZ HELP ME A city with a population of 426,000 is forced to evacuate due to a natural disaster. The damage from the disaster caused many residents to move away, and the population decreased exponentially by 26% a year after the disaster.

If the population continues to decrease at this rate for t years, write the expression that reveals the monthly rate of decrease for the population in the form (b)c. Round any decimals to the nearest thousandth.

Answer 1

For this case we have an equation of the form:
y = A * (b) ^ c
Where,
A: is the initial number of people
(b) ^ c: monthly rate of people
The expression for the monthly rate of people is given by:
(b) ^ c = (1 - 26/100) ^ ((1/12) * t)
Where,
t: is the number of months
Rewriting:
(1 - 0.26) ^ ((1/12) * t)
(0.74) ^ ((1/12) * t)
Answer:
(0.74) ^ ((1/12) * t)